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9113495040 = 293251330427
BaseRepresentation
bin10000111110011010…
…01110011000000000
3212112010122111221100
420133031032120000
5122131023320130
64104153454400
7441561300246
oct103715163000
925463574840
109113495040
11395736a791
121924111400
13b2313a420
1462651a796
15385149c60
hex21f34e600

9113495040 has 240 divisors, whose sum is σ = 33991605648. Its totient is φ = 2243248128.

The previous prime is 9113495033. The next prime is 9113495051. The reversal of 9113495040 is 405943119.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9113494986 and 9113495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284307 + ... + 314733.

Almost surely, 29113495040 is an apocalyptic number.

9113495040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9113495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995802824).

9113495040 is an abundant number, since it is smaller than the sum of its proper divisors (24878110608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9113495040 is a wasteful number, since it uses less digits than its factorization.

9113495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30469 (or 30450 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9113495040 is about 95464.6271662965. The cubic root of 9113495040 is about 2088.7909981456.

The spelling of 9113495040 in words is "nine billion, one hundred thirteen million, four hundred ninety-five thousand, forty".